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HOOK
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Joined: October 10th, 2008, 5:15 pm

quadri-variate normal distribution

May 9th, 2014, 4:57 pm

Dear all,Does anyone know any polynomial approximation for the cumulative four-dimensional standard normal curve?Cheers,Hook
 
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HOOK
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Joined: October 10th, 2008, 5:15 pm

quadri-variate normal distribution

May 12th, 2014, 1:49 pm

Thank you, outrun.
 
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Cuchulainn
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Joined: July 16th, 2004, 7:38 am

quadri-variate normal distribution

May 31st, 2015, 7:08 pm

Hook,See here
 
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Cuchulainn
Posts: 22928
Joined: July 16th, 2004, 7:38 am

quadri-variate normal distribution

June 1st, 2015, 1:49 pm

Update:I tried the 4d normal distribution with corr matrix == I. Even with NX = NY = NZ = NP = 20 I get initial results like 1, 0.5, 0.25, 0.125, 0.0625.This certainly proves feasibility of Goursat. As before, the spectrum of values is in a 4d tensor for lookup and interpolation. I took the code from the 3d case and extended it with one extra dimension. it took ~ 30 minutes to update the code.
Last edited by Cuchulainn on May 31st, 2015, 10:00 pm, edited 1 time in total.